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Simplifying -4(5 + -2m) = 5(m + -9) (5 * -4 + -2m * -4) = 5(m + -9) (-20 + 8m) = 5(m + -9) Reorder the terms: -20 + 8m = 5(-9 + m) -20 + 8m = (-9 * 5 + m * 5) -20 + 8m = (-45 + 5m) Solving -20 + 8m = -45 + 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. -20 + 8m + -5m = -45 + 5m + -5m Combine like terms: 8m + -5m = 3m -20 + 3m = -45 + 5m + -5m Combine like terms: 5m + -5m = 0 -20 + 3m = -45 + 0 -20 + 3m = -45 Add '20' to each side of the equation. -20 + 20 + 3m = -45 + 20 Combine like terms: -20 + 20 = 0 0 + 3m = -45 + 20 3m = -45 + 20 Combine like terms: -45 + 20 = -25 3m = -25 Divide each side by '3'. m = -8.333333333 Simplifying m = -8.333333333
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